This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and  explore the interfaces between teaching and research.
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This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations.
Les mer
Introduction.-  1.Foundations of mathematics buried in school garbage (Southern Mesopotamia, early second millennium BCE).- 2. From the practice of explanation to the ideology of demonstration: an informal essay.- 3.Catholicism and Mathematics in the Early Modernity.- 4.“Je n’ai point ambitionnée d’être neuf”: Modern Geometry in Early Nineteenth-Century French Textbooks.- 5.The impact of teaching mathematics upon the development of mathematical practices.- 6.A Multiple Perspective Approach to History of Mathematics: Mathematical programming and Rashevsky’s early development of mathematical biology in the 20th century.- 7.Teaching as an indicator of mathematical practices.
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This contributed volume investigates the active role of the different contexts of mathematics teaching on the evolution of the practices of mathematical concepts, with particular focus on their foundations. The book aims to deconstruct the strong and generally wide-held conviction that research in mathematics constitutes the only driving force for any progress in the development of mathematics as a field. In compelling and convincing contrast, these chapters aim to show the productive function of teaching, showcasing investigations from countries and regions throughout various eras, from Old Babylonia through the 20th Century. In so doing, they provide a critical reflection on the foundations of mathematics, as well as instigate new research questions, and  explore the interfaces between teaching and research.
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Uniquely investigates the teaching of mathematics in different contexts in the evolution of mathematics practice. Argues that the teaching of mathematics has historically been the driving force behind development in the field. Considers a wide range of examples spanning countries, regions, and time periods—from Old Babylonia through the 20th century. Shows that mathematics teaching instigates reflections about the foundations of mathematics and productive interaction with mathematics research.
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GPSR Compliance The European Union's (EU) General Product Safety Regulation (GPSR) is a set of rules that requires consumer products to be safe and our obligations to ensure this. If you have any concerns about our products you can contact us on ProductSafety@springernature.com. In case Publisher is established outside the EU, the EU authorized representative is: Springer Nature Customer Service Center GmbH Europaplatz 3 69115 Heidelberg, Germany ProductSafety@springernature.com
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Produktdetaljer

ISBN
9783030016166
Publisert
2019-02-12
Utgiver
Vendor
Springer Nature Switzerland AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
Research, P, 06
Språk
Product language
Engelsk
Format
Product format
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Biographical note

Gert Schubring is a retired member of the Institut für Didaktik der Mathematik, a research institute at Bielefeld University, and at present is visiting professor at the Universidade Federal do Rio de Janeiro (Brazil). His research interests focus on the history of mathematics and the sciences in the eighteenth and nineteenth centuries and their systemic interrelation with social-cultural systems. One of his specializations is history of mathematics education. He has published several books, among which is Conflicts between Generalization, Rigor and Intuition: Number Concepts Underlying the Development of Analysis in 17th–19th Century France and Germany (New York, 2005).